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Finding the Fourth Proportional to 595.96, 821.81 and 471.43

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Solution

The fourth proportional to 595.96, 821.81 and 471.43 is: 650.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.96 : 821.81 = 471.43 : x
  2. Step 2: Convert to fraction form
    595.96/821.81 = 471.43/x
  3. Step 3: Cross multiply
    595.96x = 821.81 × 471.43
  4. Step 4: Simplify right side
    595.96x = 387,420.60
  5. Step 5: Solve for x
    x = 387,420.60/595.96
  6. Step 6: Final answer
    x = 650.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.